Two numbers are such that 30% of the first is equal to 45% of the second. What is the ratio of the first to the second?
2:3
Let the first number be \(a\) and the second be \(b\). We are told that 30% of the first equals 45% of the second.
Writing this as a relation between the two percentage figures, the numbers stand in the ratio of these percentages.
So \(a : b = 30 : 45\).
Divide both terms by their common factor 15: \(30 : 45 = 2 : 3\).
Thus the first to the second is \(2 : 3\).
The official response sheet marks this option as correct.
Therefore the ratio of the first to the second is 2 : 3.
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Important Questions from Ratio and Proportion
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